The error involved in making a certain measurement is a continuous rv X with pdf

a. Sketch the graph of f(x).

b. Compute .

c. Compute .

d. Compute . P(X , 2.5 or X . .5)

P(21 , X , 1)

P(X . 0)

f(x) 5 e

.09375(4 2 x2

) 22 # x # 2 0 otherwise P(k , X , k 1 4)

25 , k , k 1 4 , 5 P(22 # X # 3)

P(22.5 , X , 2.5)

P(X , 0)

B 5 5 A 5 25 8C P(3.5 # X # 4.5) P(4.5 , X)

P(X , 4)

P(X # 4)

f(x) 5 e

.075x 1 .2 3 # x # 5 0 otherwise